164345586532992 has 448 divisors, whose sum is σ = 504824189283360. Its totient is φ = 53245750671360.

The previous prime is 164345586532991. The next prime is 164345586532993. The reversal of 164345586532992 is 299235685543461.

164345586532992 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 4 + 5 + 5 + 86 + 532 + 9 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (164345586532991) and next prime (164345586532993).

It is a super-2 number, since 2×164345586532992² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 164345586532992.

It is not an unprimeable number, because it can be changed into a prime (164345586532991) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 529017067 + ... + 529327637.

Almost surely, 2^{164345586532992} is an apocalyptic number.

164345586532992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164345586532992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252412094641680).

164345586532992 is an abundant number, since it is smaller than the sum of its proper divisors (340478602750368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164345586532992 is an equidigital number, since it uses as much as digits as its factorization.

164345586532992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310763 (or 310736 counting only the distinct ones).

The product of its digits is 1679616000, while the sum is 72.

The spelling of 164345586532992 in words is "one hundred sixty-four trillion, three hundred forty-five billion, five hundred eighty-six million, five hundred thirty-two thousand, nine hundred ninety-two".